Late Triassic-early Jurassic Neotethyan evolution at Northern Gondwana (Jordan ana Libya, Mediterranean region)

The Early Mesozoic record of northern Gondwana was strongly influenced by sea level fluctuations during the opening of the Neotethys Sea. Detailed facies analysis of the Late Triassic / Early Jurassic Abu Shaybah Fm (Libya, western Mediterranean), and the Triassic Mukheiris Fm (Jordan, eastern Mediterranean) documents the transgressions and regressions that took place during the Neotethys opening. Both formations present similar facies and depositional environments, and are made up mainly by continental siliciclastic sequences and minor carbonate deposits. The facies arrangement in both zones indicates deposition in a tide-dominated environment as a part of a transgressive sequence, succeeded by a high-energy sandy fluvial deposition. In both regions the braided fluvial systems drained basinwards and impinged into the Neotethys Sea located to the north. The fluvial deposition of both formations ended abruptly due to renewed Neotethyan marine floodings that resulted in the development of carbonate shelf environments

Late Triassic-early Jurassic Neotethyan evolution at Northern Gondwana (Jordan and Libya, Mediterranean region)

The Early Mesozoic record of northern Gondwana was strongly influenced by sea level fluctuations during the opening of the Neotethys Sea. Detailed facies analysis of the Late Triassic / Early Jurassic Abu Shaybah Fm (Libya, western Mediterranean), and the Triassic Mukheiris Fm (Jordan, eastern Mediterranean) documents the transgressions and regressions that took place during the Neotethys opening. Both formations present similar facies and depositional environments, and are made up mainly by continental siliciclastic sequences and minor carbonate deposits. The facies arrangement in both zones indicates deposition in a tide-dominated environment as a part of a transgressive sequence, succeeded by a high-energy sandy fluvial deposition. In both regions the braided fluvial systems drained basinwards and impinged into the Neotethys Sea located to the north. The fluvial deposition of both formations ended abruptly due to renewed Neotethyan marine floodings that resulted in the development of carbonate shelf environments

Representations of hom-Lie algebras

In this paper, we study representations of hom-Lie algebras. In particular, the adjoint representation and the trivial representation of hom-Lie algebras are studied in detail. Derivations, deformations, central extensions and derivation extensions of hom-Lie algebras are also studied as an application.Comment: 16 pages, multiplicative and regular hom-Lie algebras are used, Algebra and Representation Theory, 15 (6) (2012), 1081-109

Application of Pettis integration to delay second order differential inclusions

In this paper some fixed principle is applied to prove, in a separable Banach space, the existence of solutions for delayed second order differential inclusions with three-point boundary conditions of the form $$\ddot u(t)\in F(t,u(t),u(h(t)),\dot u(t))+H(t,u(t),u(h(t)),\dot u(t))a.e.t\in [0,1],$$ where $F$ is a convex valued multifunction upper semecontinuous on $E\times E\times E$, $H$ is a lower semicontinuous multifunction and $h$ is a bounded and continuous mapping on $[0,1]$. The existence of solutions is obtained under the assumptions that $F(t,x,y,z)\subset \Gamma_1(t)$, $H(t,x,y,z)\subset \Gamma_2(t)$, where the multifunctions $\Gamma_1, \Gamma_2:[0,1]\rightrightarrows E$ are uniformly Pettis integrable

Corrigendum to Application of Pettis integration to delay second order differential inclusions

This paper serves as a corrigendum to the paper titled Application of Pettis integration to delay second order differential inclusions appearing in EJQTDE no. 88, 2012. We present here a corrected version of Theorem 3.1, because Proposition 2.2 is not true

Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras

In this paper we construct ternary $q$-Virasoro-Witt algebras which $q$-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using $su(1,1)$ enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary $q$-Virasoro-Witt algebras constructed in this article are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield Hom-Nambu Lie algebra structure for $q$-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary $q$-Virasoro-Witt algebras we construct, carry a structure of ternary Hom-Nambu-Lie algebra for all values of the involved parameters

Contractions of low-dimensional nilpotent Jordan algebras

In this paper we classify the laws of three-dimensional and four-dimensional nilpotent Jordan algebras over the field of complex numbers. We describe the irreducible components of their algebraic varieties and extend contractions and deformations among them. In particular, we prove that J2 and J3 are irreducible and that J4 is the union of the Zariski closures of two rigid Jordan algebras.Comment: 12 pages, 3 figure

Resultats du traitement chirurgical de l’otospongiose notre experience a propos de 310 cas

Introduction : Le traitement de l’otospongiose est chirurgical. Plusieurs facteurs peuvent intervenir dans l’indication opératoire ou influencer les résultats fonctionnels. L’objectif de notre étude est d’évaluer nos résultats audiométriques et d’étudier les facteurs prédictifs de l’échec fonctionnel. Matériel et méthodes : Il s’agit d’une étude rétrospective à propos de 310 oreilles opérées pour otospongiose, sur une période de 21 ans (1985-2005). On a effectué une analyse des résultats audiométriques à partir des audiogrammes postopératoires faits à 3 mois, à 1an et au dernier contrôle. Nous avons ensuite étudié 8 facteurs pouvant être prédictifs de l’échec fonctionnel. Ce dernier était défini par un Rinne résiduel post-opératoire (RRPO) > 10 dB.Résultats : Le RRPO était en moyenne de 7,9 dB avec des extrêmes de 5 dB à 33 dB. La fermeture du Rinne a été obtenue dans 87,3% des cas. Après étude multivariée avec régression logistique, nous avons retenu 2 facteurs indépendants significativement prédictifs de l’échec fonctionnel : un stade audiométrique III ou IV d’Aubry (OR : 19,06/p : 0,0001) et un Rinne post-opératoire précoce supérieur à 35 dB (OR : 4 ,01/p : 0,0025). Conclusion : Une audiométrie post-opératoire précoce serait intéressante pour dépister précocement un échec chirurgical d’une part et pour préjuger du résultat fonctionnel définitif d’autre part. Un stade audiométrique III ou IV d’ Aubry, prédictif certes d’un moins bon résultat fonctionnel, ne contre-indique pas la chirurgie qui permettra entre autres une meilleure adaptation audio- prothétique.Mots-clés : otospongiose - chirurgie - résultats – facteurs prédictif

Community pharmacists' management of minor ailments in developing countries: A systematic review of types, recommendations, information gathering and counselling practices

Aims: To conduct a systematic review of the management of minor ailments by community pharmacists in developing countries, and to identify the specific minor ailments encountered, the medications recommended or requested and the information gathering and counselling practices. Method: Observational studies from developing countries published in English language from inception to 2019 and report the management of minor ailments by community pharmacists were systematically searched in PubMed, ScienceDirect and Cochrane Library. Results: Thirty full-text studies, out of 7876 retrieved and screened, were included in the systematic review. Minor ailment-induced encounters by patients with community pharmacists are generally pervasive and involve mainly verbal request for specific medicines by name (60%). The most frequent minor ailments reported were respiratory, gastrointestinal and musculoskeletal conditions, and the most common medicines recommended or requested for were cough/cold preparations, antimotility and oral rehydration preparation, and analgesic/antipyretic. Inappropriate recommendation of antibiotics were reported for acute diarrhoea and cough/colds (40%) (10/25). Community pharmacists encountered 11-30 customers with minor ailments per day, with an average of about 4.8 (1.3-20.5) minutes per encounter. None of the studies reported the availability and/or use of a specific protocol to guide the management of minor ailments. There was wide variation in the type and depth of information gathered and used for the management of minor ailments; and the counselling information provided by community pharmacists, and there was no evidence of the documentation activities related to the management of minor ailments. Conclusions: Community pharmacists' encounter with and management of minor ailments appear extensive in developing countries and probably present an opportunity to contribute significantly to reduce disease burden and enhance public health. However, the management process is currently unstructured, unguided by a specific protocol and vary in the quality of recommendations, information gathering and counselling practices.Qatar National Research Fund, UREP24-147-3043; Open Access funding provided by the Qatar National Library